TSTP Solution File: SWC032-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:41:18 EDT 2022

% Result   : Unsatisfiable 1.39s 0.53s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :   71 (  22 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   69 (  33   ~;  34   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f553,plain,
    $false,
    inference(avatar_sat_refutation,[],[f263,f269,f270,f552]) ).

fof(f552,plain,
    ( ~ spl1_5
    | spl1_6 ),
    inference(avatar_contradiction_clause,[],[f551]) ).

fof(f551,plain,
    ( $false
    | ~ spl1_5
    | spl1_6 ),
    inference(subsumption_resolution,[],[f550,f204]) ).

fof(f204,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f550,plain,
    ( ~ ssList(sk3)
    | ~ spl1_5
    | spl1_6 ),
    inference(subsumption_resolution,[],[f549,f261]) ).

fof(f261,plain,
    ( nil != sk3
    | spl1_6 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl1_6
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f549,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl1_5 ),
    inference(resolution,[],[f548,f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f548,plain,
    ( frontsegP(nil,sk3)
    | ~ spl1_5 ),
    inference(forward_demodulation,[],[f547,f258]) ).

fof(f258,plain,
    ( nil = sk4
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl1_5
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f547,plain,
    frontsegP(sk4,sk3),
    inference(forward_demodulation,[],[f546,f232]) ).

fof(f232,plain,
    sk4 = sF0,
    inference(definition_folding,[],[f193,f231]) ).

fof(f231,plain,
    app(sk3,sk5) = sF0,
    introduced(function_definition,[]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f546,plain,
    frontsegP(sF0,sk3),
    inference(subsumption_resolution,[],[f545,f204]) ).

fof(f545,plain,
    ( ~ ssList(sk3)
    | frontsegP(sF0,sk3) ),
    inference(subsumption_resolution,[],[f541,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f541,plain,
    ( ~ ssList(sk5)
    | frontsegP(sF0,sk3)
    | ~ ssList(sk3) ),
    inference(superposition,[],[f272,f231]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f221,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | frontsegP(X2,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f270,plain,
    ( ~ spl1_5
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f205,f260,f256]) ).

fof(f205,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f200,f190,f191]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f200,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f269,plain,
    ( spl1_5
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f196,f260,f256]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f263,plain,
    ( spl1_5
    | spl1_6 ),
    inference(avatar_split_clause,[],[f203,f260,f256]) ).

fof(f203,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f197,f191,f190]) ).

fof(f197,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:04:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (5391)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.49  % (5397)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.49  % (5418)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.49  % (5402)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (5404)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (5417)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (5409)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (5403)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.23/0.51  TRYING [1]
% 1.23/0.51  TRYING [2]
% 1.23/0.52  % (5421)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.23/0.52  % (5393)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.23/0.52  % (5400)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.23/0.52  % (5400)Instruction limit reached!
% 1.23/0.52  % (5400)------------------------------
% 1.23/0.52  % (5400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52  % (5400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52  % (5400)Termination reason: Unknown
% 1.23/0.52  % (5400)Termination phase: Function definition elimination
% 1.23/0.52  
% 1.23/0.52  % (5400)Memory used [KB]: 1023
% 1.23/0.52  % (5400)Time elapsed: 0.002 s
% 1.23/0.52  % (5400)Instructions burned: 2 (million)
% 1.23/0.52  % (5400)------------------------------
% 1.23/0.52  % (5400)------------------------------
% 1.23/0.52  % (5398)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.52  % (5394)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.52  % (5407)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.23/0.52  % (5413)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.23/0.52  % (5395)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.53  % (5404)First to succeed.
% 1.39/0.53  % (5420)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.53  % (5392)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.53  % (5414)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.53  % (5404)Refutation found. Thanks to Tanya!
% 1.39/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.39/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.53  % (5404)------------------------------
% 1.39/0.53  % (5404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53  % (5404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53  % (5404)Termination reason: Refutation
% 1.39/0.53  
% 1.39/0.53  % (5404)Memory used [KB]: 6012
% 1.39/0.53  % (5404)Time elapsed: 0.119 s
% 1.39/0.53  % (5404)Instructions burned: 20 (million)
% 1.39/0.53  % (5404)------------------------------
% 1.39/0.53  % (5404)------------------------------
% 1.39/0.53  % (5386)Success in time 0.181 s
%------------------------------------------------------------------------------